document.write( "Question 467073: if the average of 5 consecutive even numbers is 46, then the largest number is \n" ); document.write( "

Algebra.Com's Answer #320357 by josmiceli(19441) $\"\"$ $\"About$

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If the smallest number is $\"n\"$ , then
\n" ); document.write( "The five consecutive even numbers are
\n" ); document.write( " $\"n\"$ , $\"n%2B2\"$ , $\"n+%2B4\"$ , $\"+n%2B6\"$ , and $\"n%2B8\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+%28+n+%2B+n+%2B+2+%2B+n+%2B+4+%2B+n+%2B+6+%2B+n+%2B+8%29+%2F+5+=+46+\"$
\n" ); document.write( " $\"+%285n+%2B+20%29+%2F+5+=+46+\"$
\n" ); document.write( " $\"+5n+%2B+20+=+230+\"$
\n" ); document.write( " $\"+5n+=+210+\"$
\n" ); document.write( " $\"+n+=+42+\"$
\n" ); document.write( " $\"+n+%2B+2+=+44+\"$
\n" ); document.write( " $\"+n+%2B+4+=+46+\"$
\n" ); document.write( " $\"+n+%2B+6+=+48+\"$
\n" ); document.write( " $\"+n+%2B+8+=+50+\"$
\n" ); document.write( "The largest number is 50
\n" ); document.write( "check:
\n" ); document.write( " $\"+%285n+%2B+20%29+%2F+5+=+46+\"$
\n" ); document.write( " $\"+%285%2A42+%2B+20%29+%2F+5+=+46+\"$
\n" ); document.write( " $\"+%28210+%2B+20%29+%2F+5+=+46+\"$
\n" ); document.write( " $\"+230%2F5+=+46+\"$
\n" ); document.write( " $\"+230+=+230+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );